To) than the area of the trapezium Kabl by two-thirds of the area of the triangle ATB (§ 34).
In shape, the peninsula forms a rough trapezium, with its greatest length from north-west to south-east.
- In § 23 the area of a right trapezium has been expressed in terms of the base and the two sides; and in § 34 the area of a somewhat similar figure, the top having been replaced by an arc of a parabola, has been expressed in terms of its base and of three lengths which may be regarded as the sides of two separate figures of which it is composed.
The " trapezium " of stars in the Orion nebula.
The figures considered in § 22 are particular cases of the trapezium, which is a quadrilateral with two parallel sides.
The most important form of trapezium is that in which one of the two remaining sides of the figure is at right angles to the two parallel sides.
1) be a trapezium, the sides CA and DB being parallel.
Then MA'B'N is a right trapezium, whose area is equal to that of Cabd; and it is related to the latter in such a way that, if any two lines parallel to AC and BD meet AB, CD, MN, A'B', in E, G, P, E', and F, H, Q, F', respectively, the area of the piece PE'F'Q of the right trapezium 'B.
This formula holds for the general case in which the base is a trapezium; the wedge being thus formed by cutting a triangular prism by any two planes.
The trapezette is then a right trapezium, and its area, if m=l, is 2h(uo + ui) or hug.
Angle of an irregular trapezium of land which lay between the rivers Husur (Khausar, Choser) on the N.W., Gomal on the N.E.
The trapezium is a particular case.
Hence the areas of the trapezette and of the trapezium will be equal if I - 2=3,0=I/%/3.
The trapezium is also sometimes called a " trapezoid," but it will be convenient to reserve this term for a different figure (§ 24).
The right trapezium so constructed, F ' may be called the equivalent right trapezium.
In E'; the case of a parallelogram, the equivalent right,, trapezium is a rectangle; in the case of a triangle, Al it is a right-angled triangle.
If, for instance, the graph were a trapezium, the calculation of the area would be equivalent to finding the integral, from x=a to x=b, of an expression of the form px+q.
Hence the area of the right trapezium Khjl is greater than the area of the trapezette Kacbl.